Question

ABCD is a rhombus whose diagonals meet at O. Find the value of x.​

Answer 1

Answer:

Since diagonals of a rhombus bisect each other at right angle .

∴ In △AOB , we have

∠OAB + ∠x + 90° = 180°

∠x = 180° - 90° - 35° [∵ ∠OAB = 35°]

= 55°

Also, ∠DAO = ∠BAO = 35°

∴ ∠y + ∠DAO + ∠BAO + ∠x = 180°

⇒ ∠y + 35° + 35° + 55° = 180°

⇒ ∠y = 180° - 125° = 55°

Hence the values of x and y are x = 55°, y = 55°.